Big-IP VE Lab License Not Working With v10.2

1) I have one license running successfully on a VM. I want to move the license to a new VM. Do I need to contact support for this or is there a way to do it without deactivation/reactivation?

Need to contact support and ask them to mark the license eligible for re-activation. I don't think there is any way around this one.

2) I bought a second license, to configure HA. I have yet to install/activate it. I currently need to test upgrading from 10.2 to 11.5. I downloaded the 10.2 VM (.OVA) from F5, but I get an error that my license cannot be installed on that version. What gives? Shouldn't my license be valid for any version?

Bummer. Ask your F5 sales rep for a 3 month eval instead? That might do the trick.